Finding the Third Proportional to 1,262.50 and 1,375

Step by Step Solution

1. Step 1: Write the proportion equation
   1,262.50 : 1,375 = 1,375 : x
2. Step 2: Convert to fraction form
   1,262.50/1,375 = 1,375/x
3. Step 3: Cross multiply
   1,262.50x = 1,375 × 1,375
4. Step 4: Simplify right side
   1,262.50x = 1,890,625
5. Step 5: Solve for x
   x = 1,890,625/1,262.50
6. Step 6: Final answer
   x = 1,497.52